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Creators/Authors contains: "Shirakawa, Ken"

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  1. ; ; (, SIAM Journal on Mathematical Analysis)
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  2. ; ; ; (, Advances in Nonlinear Analysis)
    Abstract In this article, we consider a class of optimal control problems governed by state equations of Kobayashi-Warren-Carter-type. The control is given by physical temperature. The focus is on problems in dimensions less than or equal to 4. The results are divided into four Main Theorems, concerned with: solvability and parameter dependence of state equations and optimal control problems; the first-order necessary optimality conditions for these regularized optimal control problems. Subsequently, we derive the limiting systems and optimality conditions and study their well-posedness. 
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  3. ; ; ; (, Mathematical Control & Related Fields)
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